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- AU Year 5 Maths
- Introduction to 3D Shapes

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Get Started Now- Intro Lesson: a8:22
- Intro Lesson: b5:39
- Intro Lesson: c3:47
- Intro Lesson: d7:40
- Lesson: 1a3:43
- Lesson: 1b4:18
- Lesson: 1c4:17
- Lesson: 2a2:37
- Lesson: 2b3:46
- Lesson: 2c2:55
- Lesson: 3a6:06
- Lesson: 3b5:22
- Lesson: 3c6:16
- Lesson: 4a4:22
- Lesson: 4b7:05
- Lesson: 4c4:06

In this lesson, we will learn:

- The relationship between 3-dimensional shapes, cubic measure, and the 3D geometric property of volume
- How to use the formula for volume of rectangular prisms: $V = l \times w \times h$

**Volume**is the**3-dimensional (3D) property**of a geometric shape**Volume**represents the__amount of space occupied__by a 3D shape**Volume**is created by the combination of three**dimensions**(three different planes/directions of measurement)**Cubic measure**(cubic units) is used to measure volumes of 3D shapes- Some examples of cubic units are: m
^{3}, cm^{3}, mm^{3}; ft^{3}, in^{3}, yd^{3}

- For the geometric properties of shapes:

- A
**2D shape**has the 2D property of**area**and the 1D property of**perimeter** - A
**3D shape**has the 3D property of**volume**and the 2D property of**surface area**

- The
**volume ($V$)**for a**rectangular prism**combines the three dimensions of:**length ($l$)**,**width ($w$)**, and**height ($h$)**and can be found using the formula: - $V = l \times w \times h$

- IntroductionIntroduction to Introduction to Volume of Rectangular Prisms:a)What is volume and why do we use cubic units for volume?b)What is the volume formula and how do you define length, width, and height?c)How to calculate volume using the volume formula for a rectangular prismd)How to calculate
- 1.
**Volume with Cubic Unit Blocks**

Find the length, width, height, and volume for the 3D shapea)

b)

c)

- 2.
**Volume of Rectangular Prisms**

Find the volume of the rectangular prism using the formula $V =l \times w \times h$a)

b)

c)

- 3.
**Manipulating Volume Equation for Rectangular Prisms**

Solve for the missing measurement of each rectangular prisma)

b)

c)

- 4.
**Word Problem - Volume of Rectangular Prisms**

Pizza boxes all have a square base and a height of 2 inches.a)What is the volume of a large pizza box that is 15 inches long, 15 inches wide, and 2 inches high?b)What is the length and width of the small pizza box if the volume is 162 in^{3}?c)If you ordered 2 large pizzas and 1 small pizza, what is the total volume of boxes stacked together when it arrives?